Birthrate Life Expectancy
1. **State the problem:** We are given data on birthrate $x$ (number of births per 1000 population) and female life expectancy $y$ (in years), along with the product $xy$. We want to analyze the relationship between birthrate and female life expectancy.
2. **Observe the data:** The scatter plot shows a downward trend, suggesting a negative correlation between birthrate and female life expectancy. As birthrate increases, female life expectancy tends to decrease.
3. **Calculate the correlation coefficient (optional):** To quantify the relationship, we could calculate the Pearson correlation coefficient $r$ using the data points $(x_i, y_i)$.
4. **Interpretation:** The negative trend indicates that higher birthrates are associated with lower female life expectancy, which is common in demographic studies.
5. **Summary:** The data and scatter plot confirm a negative correlation between birthrate and female life expectancy.
Final answer: There is a negative correlation between birthrate and female life expectancy, meaning as birthrate increases, female life expectancy tends to decrease.